The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
2006 is multiplo of 1
2006 is multiplo of 2
2006 is multiplo of 17
2006 is multiplo of 34
2006 is multiplo of 59
2006 is multiplo of 118
2006 is multiplo of 1003
2006 has 7 positive divisors
In addition we can say of the number 2006 that it is even
2006 is an even number, as it is divisible by 2 : 2006/2 = 1003
The factors for 2006 are all the numbers between -2006 and 2006 , which divide 2006 without leaving any remainder. Since 2006 divided by -2006 is an integer, -2006 is a factor of 2006 .
Since 2006 divided by -2006 is a whole number, -2006 is a factor of 2006
Since 2006 divided by -1003 is a whole number, -1003 is a factor of 2006
Since 2006 divided by -118 is a whole number, -118 is a factor of 2006
Since 2006 divided by -59 is a whole number, -59 is a factor of 2006
Since 2006 divided by -34 is a whole number, -34 is a factor of 2006
Since 2006 divided by -17 is a whole number, -17 is a factor of 2006
Since 2006 divided by -2 is a whole number, -2 is a factor of 2006
Since 2006 divided by -1 is a whole number, -1 is a factor of 2006
Multiples of 2006 are all integers divisible by 2006 , i.e. the remainder of the full division by 2006 is zero. There are infinite multiples of 2006. The smallest multiples of 2006 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2006, the answer is: No, 2006 is not a prime number.
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 2006). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 44.788 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
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Next prime number: 2011